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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 859 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.726787 ÷ 998 =
  2. 2.56965 ÷ 88 =
  3. 3.188858 ÷ 997 =
  4. 4.741607 ÷ 988 =
  5. 5.58820 ÷ 88 =
  6. 6.610385 ÷ 997 =
  7. 7.70792 ÷ 88 =
  8. 8.55202 ÷ 97 =
  9. 9.9113 ÷ 8 =
  10. 10.98081 ÷ 97 =
  11. 11.36738 ÷ 98 =
  12. 12.20644 ÷ 98 =
  13. 13.641720 ÷ 997 =
  14. 14.81764 ÷ 97 =
  15. 15.478387 ÷ 988 =
  16. 16.98763 ÷ 88 =
  17. 17.57357 ÷ 98 =
  18. 18.4160 ÷ 8 =
  19. 19.68934 ÷ 98 =
  20. 20.2478 ÷ 98 =
  21. 21.2362 ÷ 8 =
  22. 22.16654 ÷ 96 =
  23. 23.195121 ÷ 897 =
  24. 24.489228 ÷ 989 =
  25. 25.249581 ÷ 998 =
  26. 26.930406 ÷ 988 =
  27. 27.34294 ÷ 988 =
  28. 28.152085 ÷ 989 =
  29. 29.229656 ÷ 997 =
  30. 30.61519 ÷ 88 =
  31. 31.6443 ÷ 98 =
  32. 32.172684 ÷ 988 =
  33. 33.699424 ÷ 989 =
  34. 34.58663 ÷ 96 =
  35. 35.7058 ÷ 8 =
  36. 36.303357 ÷ 989 =
  37. 37.1146 ÷ 98 =
  38. 38.172491 ÷ 989 =
  39. 39.16061 ÷ 98 =
  40. 40.22118 ÷ 89 =

Answer key

  1. 728 rem 243
  2. 647 rem 29
  3. 189 rem 425
  4. 750 rem 607
  5. 668 rem 36
  6. 612 rem 221
  7. 804 rem 40
  8. 569 rem 9
  9. 1139 rem 1
  10. 1011 rem 14
  11. 374 rem 86
  12. 210 rem 64
  13. 643 rem 649
  14. 842 rem 90
  15. 484 rem 195
  16. 1122 rem 27
  17. 585 rem 27
  18. 520 rem 0
  19. 703 rem 40
  20. 25 rem 28
  21. 295 rem 2
  22. 173 rem 46
  23. 217 rem 472
  24. 494 rem 662
  25. 250 rem 81
  26. 941 rem 698
  27. 34 rem 702
  28. 153 rem 768
  29. 230 rem 346
  30. 699 rem 7
  31. 65 rem 73
  32. 174 rem 772
  33. 707 rem 201
  34. 611 rem 7
  35. 882 rem 2
  36. 306 rem 723
  37. 11 rem 68
  38. 174 rem 405
  39. 163 rem 87
  40. 248 rem 46

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